18957312 has 198 divisors, whose sum is σ = 63706734. Its totient is φ = 5406720.

The previous prime is 18957311. The next prime is 18957361. The reversal of 18957312 is 21375981.

18957312 is a `hidden beast` number, since 1 + 89 + 573 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17842176 + 1115136 = 4224^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18957311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115128 + ... + 1115144.

Almost surely, 2^18957312 is an apocalyptic number.

18957312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18957312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31853367).

18957312 is an abundant number, since it is smaller than the sum of its proper divisors (44749422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18957312 is a wasteful number, since it uses less digits than its factorization.

18957312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 18957312 is about 4353.9995406522. Note that the first 3 decimals coincide. The cubic root of 18957312 is about 266.6401751461.

The spelling of 18957312 in words is "eighteen million, nine hundred fifty-seven thousand, three hundred twelve".